This phase I trial is studying how well monoclonal antibody therapy with peripheral stem cell transplant works in treating patients with non-Hodgkin's lymphoma. Monoclonal antibodies, such as rituximab, can block cancer growth in different ways. Some block the ability of cancer cells to grow and spread. Others find cancer cells and help kill them or carry cancer-killing substances to them. Peripheral stem cell transplant may allow the doctor to give higher doses of monoclonal antibodies and kill more cancer cells